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Simplifying -1(2x + 8) + 3(2x + 5) + -2x = 0 Reorder the terms: -1(8 + 2x) + 3(2x + 5) + -2x = 0 (8 * -1 + 2x * -1) + 3(2x + 5) + -2x = 0 (-8 + -2x) + 3(2x + 5) + -2x = 0 Reorder the terms: -8 + -2x + 3(5 + 2x) + -2x = 0 -8 + -2x + (5 * 3 + 2x * 3) + -2x = 0 -8 + -2x + (15 + 6x) + -2x = 0 Reorder the terms: -8 + 15 + -2x + 6x + -2x = 0 Combine like terms: -8 + 15 = 7 7 + -2x + 6x + -2x = 0 Combine like terms: -2x + 6x = 4x 7 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 7 + 2x = 0 Solving 7 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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